Zap. Nauchn. Sem. POMI, 2005, Volume 322

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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

2005, Volume 322

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General information

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Contents

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Proceedings on number theory

	A brief account of the scientific and pedagogical work of Yu. V. Linnik A. I. Vinogradov		5
	Polynomials with small discriminants and regular systems of real algebraic numbers V. I. Bernik, O. S. Kukso		10
	A generalized square of the zeta function. The spectral decomposition A. I. Vinogradov		17
	On the distribution of norms of prime ideals of the given class in arithmetic progressions S. A. Gritsenko		45
	On an exponential sum P. Ding		63
	Divisibility properties of certain recurrent sequences A. Dubickas		76
	Rauzy tilings and bounded remainder sets on the torus V. G. Zhuravlev		83
	Approximations to $q$-logarithms and $q$-dilogarithms, with applications to $q$-zeta values W. Zudilin		107
	A limit theorem for the Hurwitz zeta-function with algebraic irrational parameter A. P. Laurincikas		125
	Scalar product of Dirichlet series and the distribution of integer points on toric varieties B. Z. Moroz		135
	On Waring's problem (elementary methods) Yu. V. Nesterenko		149
	On the index of the boundary points of four-dimensional lattices that are admissible for cube Yu. A. Smirnov		176
	On the statistical properties of finite continued fractions A. V. Ustinov		186
	Divisor weighted sums J. B. Friedlander, H. Iwaniec		212
	A generalization of the method of global relation V. G. Chirskii		220
	Sums of the additive divisor problem type and the inner product method M. Jutila		239

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